Math Problem Statement

Domain and range

Solution

The image shows a graph of a line that extends indefinitely in both directions, passing through the coordinate plane.

Domain:

Since the line extends infinitely in both the positive and negative directions along the xx-axis, the domain includes all real numbers. Domain=(,)\text{Domain} = (-\infty, \infty)

Range:

Similarly, the line also extends infinitely in both the positive and negative directions along the yy-axis, so the range includes all real numbers. Range=(,)\text{Range} = (-\infty, \infty)

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. How do you determine the slope of the line from the graph?
  2. What is the equation of this line in slope-intercept form (y=mx+by = mx + b)?
  3. How does the domain and range change if the line is restricted to a segment?
  4. What would happen to the domain and range if the line were vertical or horizontal?
  5. How can you tell from the graph whether a line will have infinite domain and range?

Tip: Always consider whether a graph shows a line segment, a ray, or an entire line to accurately determine the domain and range.

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Math Problem Analysis

Mathematical Concepts

Graphs of Linear Functions
Domain and Range

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9